What value will come in place of question mark (?) in the questions given below ?
`(16-6xx2+3)/(23-3xx2)=?`

Options

A. `(7)/(17)`
B. `(23)/(40)`
C. `(14)/(23)`
D. `(2)/(17)`

Answer

To solve the expression \((16 - 6 \times 2 + 3) / (23 - 3 \times 2)\), we will follow the order of operations (BODMAS/BIDMAS rules).

### Step 1: Simplify the numerator
The numerator is \(16 - 6 \times 2 + 3\).

1. First, calculate \(6 \times 2\):
\[ 6 \times 2 = 12 \]

2. Substitute back into the numerator:
\[ 16 - 12 + 3 \]

3. Now, perform the subtraction and addition from left to right:
- First, \(16 - 12 = 4\)
- Then, \(4 + 3 = 7\)

So, the numerator simplifies to \(7\).

### Step 2: Simplify the denominator
The denominator is \(23 - 3 \times 2\).

1. First, calculate \(3 \times 2\):
\[ 3 \times 2 = 6 \]

2. Substitute back into the denominator:
\[ 23 - 6 \]

3. Now, perform the subtraction:
\[ 23 - 6 = 17 \]

So, the denominator simplifies to \(17\).

### Step 3: Divide the simplified numerator by the simplified denominator
Now we can divide the simplified numerator by the simplified denominator:
\[ \frac{7}{17} \]

Thus, the value that will come in place of the question mark (?) is \(\frac{7}{17}\).

### Final Answer:
\[ \frac{7}{17} \]

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